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Edited By Ramraj Saini | Updated on Mar 01, 2024 06:38 PM IST

**Exponents and Powers Class 8 Questions And Answers** provided here. These NCERT Solutions are created by expert team at craeers360 keeping the latest syllabus and pattern of CBSE 2023-23. In this article, you will get NCERT solutions for Class 8 Maths chapter 12 Exponents and Powers explained in a detailed manner to get a better understanding of the chapter. Also, you will learn how to make the representation of bigger numbers easier using about exponents and powers.

This Story also Contains

- Exponents and Powers Class 8 Questions And Answers PDF Free Download
- Exponents and Powers Class 8 Solutions - Important Formulae
- Exponents and Powers Class 8 NCERT Solutions (Intext Questions and Exercise)
- NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers - Topics
- NCERT Solutions for Class 8 Maths - Chapter Wise
- Key Features Of NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers
- NCERT Solutions for Class 8 - Subject Wise
- NCERT Books and NCERT Syllabus

There are 11 questions in 2 exercises of the textbook. All these questions are explained in NCERT solutions for Class 8 Maths chapter 12 Exponents and Powers. Here you will get the detailed NCERT Solutions for Class 8 maths by clicking on the link.

Law of Product: a

^{m}× a^{n}= a^{(m + n)}Law of Quotient: a

^{m}/ a^{n}= a^{(m - n)}Law of Zero Exponent: a

^{0}= 1Law of Negative Exponent: a

^{(-m)}= 1 / a^{m}Law of Power of a Power: (a

^{m})^{n}= a^{(m * n)}Law of Power of a Product: (ab)

^{n}= a^{n}* b^{n}

Law of Power of a Quotient: (a / b)^{m} = a^{m} / b^{m}

Free download **NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers **for CBSE Exam.

** Class 8 exponents and powers NCERT solutions - Topic 12.2 Powers With Negative Exponents **

** Question:(i) ** Find the multiplicative inverse of the following.

** Answer: **

The detailed explanation for the question is written below,

The multiplicative inverse is

So, the multiplicative inverse of is

** Question:(ii) ** Find the multiplicative inverse of the following.

** Answer: **

Here is the detailed solution for the above question,

As we know,

The multiplicative inverse of is

So, the multiplicative inverse of is

** Question:(iii) ** Find the multiplicative inverse of the following.

** Answer: **

The multiplicative inverse of is

So, the multiplicative inverse of is

** Question:(iv) ** Find the multiplicative inverse of the following.

** Answer: **

we know,

The multiplicative inverse of is

So, for multiplicative inverse is

** Question:(v) ** Find the multiplicative inverse of the following.

** Answer: **

The multiplicative inverse of is

So, the multiplicative inverse of is

** NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Topic 12.2 Powers With Negative Exponents **

** Question:(i) ** Expand the following numbers using exponents.

1025.63

** Answer: **

1025.63 =

** NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers - Topic 12.3 Laws Of Exponents **

** Question:1(i) ** Simplify and write in exponential form.

** Answer: **

this is simplified as follows

** Question:1(ii) ** Simplify and write in exponential form .

** Answer: **

this is simplified as follows

.............

** Question:1(iii) ** Simplify and write in exponential form.

** Answer: **

this can be simplified as follows

.............

** Class 8 maths chapter 12 question answer - Exercise: 12.1 **

** Question:1 ** ** (i) ** Evaluate.

** Answer: **

The detailed explanation for the above-written question is as follows,

We know that,

So, here m =2 and a = 3

** Question: 1(ii) ** Evaluate.

** Answer: **

The detailed explanation for the above-written question is as follows

We know that,

So, here (a = -4) and (m = 2)

Then according to the law of exponent

[ negative negative = positive]

** Question: 1(iii) ** Evaluate.

** Answer: **

The detailed solution for the above-written question is as follows

We know that,

So, here

a = 1 and b = 2 and m =-5

According to the law of exponent

** Question: 2(i) ** Simplify and express the result in power notation with a positive exponent.

** Answer: **

The detailed solution for the above-written question is as follows

We know the exponential formula

and

So according to this

a = -4, m = 5 and n = 8

** Question: 2(ii) ** Simplify and express the result in power notation with positive exponent.

** Answer: **

The detailed solution for the above-written question is as follows

We know the exponential formula

and and

So, we have given

a = 1, b=2

By using above exponential law,

** Question: 2(iii) ** Simplify and express the result in power notation with a positive exponent.

** Answer: **

The detailed solution for the above-written question is as follows,

We know the exponential formula

So,

** Question: 2(iv) ** Simplify and express the result in power notation with a positive exponent.

** Answer: **

The detailed explanation for the above-written question is as follows

As we know the exponential form

By using these two form we get,

** Question:2(v) ** Simplify and express the result in power notation with positive exponent.

** Answer: **

The detailed solution for the above-written question is as follows,

we know the exponential forms

&

So, according to our data,

here initially we use first forms and then the second one.

** Question:3(i) ** Find the value of.

** Answer: **

The detailed explanation for the above-written question is as follows,

As we know that

So,

now,

** Question: ** ** 3(ii) ** Find the value of.

** Answer: **

The detailed explanation for the above-written question is as follows

Rewrite the equation

.................................

........................

** Question: ** ** 3(iii) ** Find the value of.

** Answer: **

The detailed explanation for the above-written question is as follows,

This is the exponential form

So,

.......................using this form

= 4+9+16

= 29

** Question: 3(v) ** Find the value of.

** Answer: **

The detailed explanation for the above-written question is as follows

.............. BY using these form of exponential

......... use this

** Question:4(i) ** Evaluate

** Answer: **

The detailed explanation for the above written question is as follows

after rewriting the above equation we get,

...........as we know that

An alternate method,

here you can use first and after that use

** Question: 4(ii) ** Evaluate

** Answer: **

The detailed explanation for the above-written question is as follows

We clearly see that this is in the form of

So,

** Question: ** ** 5 ** Find the value of for which

** Answer: **

We have,

Here a = 5 and n =-3 and m-n = 5

therefore,

By comparing from both sides we get

m+3 = 5

m= 2

** Question: ** ** 6(i) ** Evaluate

** Answer: **

The detailed solution for the above-written question is as follows

.............by using

** Question: ** ** 6(ii) ** Evaluate

** Answer: **

The detailed solution for the above-written question is as follows

................ using the form

............using

** Question: ** ** 7(i) ** Simplify

** Answer: **

The detailed solution for the above-written question is as follows

we can write

So, after rewriting the equation,

.................using the form

.............(By expanding we have now)

** Question: ** ** 7(ii) ** Simplify.

** Answer: **

The detailed solution for the above-written question is

we can write 125 = and can be written as

Now, rewriting the equation, we get

.............by using

.....................Use

.........................As . can be cancelled out with the denominator

** Class 8 maths chapter 12 NCERT solutions - Topic 12.4 Use Of Exponents To Express Small Numbers In Standard Form **

** Question: ** ** 1(i) ** Write the following numbers in standard form.

0.000000564

** Answer: **

the standard form of 0.000000564 is

** Question: ** ** 1(ii) ** Write the following numbers in standard form.

0.0000021

** Answer: **

The standard form 0.0000021 is

** Question: ** ** 1(iii) ** Write the following numbers in standard form.

21600000

** Answer: **

The standard form 21600000 is

** Question: ** ** 1(iv) ** Write the following numbers in standard form.

15240000

** Answer: **

The standard form 15240000

** Question: ** ** 2 ** Write all the facts given in the standard form .

** Answer: **

Distance between sun and earth

speed of light is

The avg. diameter of red blood cells is

the distance of the moon from the earth is

size of the plant cell is

The diameter of the wire on a computer chip is

the height of the Mount Everest is

** NCERT Solutions for Class 8 Maths Chapter 12 Exponents And Powers - Exercise: 12.2 **

** Question: ** ** 1(i) ** Express the following numbers in standard form .

0.0000000000085

** Answer: **

The standard form is

** Question: ** ** 1(ii) ** Express the following numbers in standard form.

0.00000000000942

** Answer: **

The standard form is

** Question: ** ** 1(iii) ** Express the following numbers in standard form.

6020000000000000

** Answer: **

The standard form is

** Question: ** ** 1(iv) ** Express the following numbers in standard form.

0.00000000837

** Answer: **

The standard form of the given number is

** Question: ** ** 1(v) ** Express the following numbers in standard form.

31860000000

** Answer: **

The standard form is

** Question:3(i) ** Express the number appearing in the following statements in standard form.

1 micron is equal to .

** Answer: **

1 micron is equal to

** Question:3(ii) ** Express the number appearing in the following statements in standard form.

Charge of an electron is 0.000,000,000,000,000,000,16 coulomb.

** Answer: **

Charge of an electron is 0.000,000,000,000,000,000,16 coulomb.

coulomb.

** Question:3(iii) ** Express the number appearing in the following statements in standard form.

Size of a bacteria is 0.0000005 m.

** Answer: **

Size of a bacteria is 0.0000005 m

** Question:3(iv) ** Express the number appearing in the following statements in standard form.

Size of a plant cell is 0.00001275 m.

** Answer: **

Size of a plant cell is0.00001275m

** Question:3(v) ** Express the number appearing in the following statements in standard form.

Thickness of a thick paper is 0.07 mm

** Answer: **

The thickness of a thick paper is 0.07

** Answer: **

the thickness of each book = 20mm

So, the thickness of 5 books =

the thickness of one paper sheet =0.016mm

So, the thickness of 5 paper sheet =

the total thickness of the stack = (100+0.08)mm

=100.08 mm or

- Powers with Negative Exponents
- Laws of Exponents
- Use of Exponents to Express Small Numbers in Standard Form
- Comparing very large and very small numbers

Chapter -1 | |

Chapter -2 | |

Chapter-3 | |

Chapter-4 | |

Chapter-5 | |

Chapter-6 | |

Chapter-7 | |

Chapter-8 | |

Chapter-9 | |

Chapter-10 | |

Chapter-11 | |

Chapter-12 | Exponents and Powers |

Chapter-13 | |

Chapter-14 | |

Chapter-15 | |

Chapter-16 |

**Comprehensive Coverage:** Solutions of maths chapter 12 class 8 cover all topics and concepts related to exponents and powers as per the Class 8 syllabus.

**Step-by-Step Solutions:** Detailed, step-by-step explanations for each problem, making it easy for students to understand and apply mathematical concepts related to exponents.

**Variety of Problems:** A wide range of problems, including exercises and additional questions, to help students practice and test their understanding of exponent rules, laws, and operations.

1. What are the important topics of chapter Exponents and Powers ?

The power of negative exponents, law of exponents and powers, and applications of power and exponents are the important topics of this chapter.

2. How does the NCERT solutions are helpful ?

NCERT solutions are helpful for the students if they are not able to NCERT problems on their own. These solutions are provided in a very detailed manner which will give them conceptual clarity.

3. Where can I find the complete solutions of NCERT for class 8 ?

Here you will get the detailed NCERT solutions for class 8 by clicking on the link.

4. Where can I find the complete solutions of NCERT for class 8 maths ?

Here you will get the detailed NCERT solutions for class 8 maths by clicking on the link.

5. How many chapters are there in the CBSE class 8 maths ?

There are 16 chapters starting from rational number to playing with numbers in the CBSE class 8 maths.

6. Which is the official website of NCERT ?

NCERT official is the official website of the NCERT where you can get NCERT textbooks and syllabus from class 1 to 12.

Application Date:05 September,2024 - 20 September,2024

Application Date:17 September,2024 - 30 September,2024

Application Date:17 September,2024 - 30 September,2024

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